Electric transmission lines: Control and numerical discretization. (17th November 2015)

• Record Type: Journal Article
• Authors: Göttlich, Simone; Herty, Michael; Schillen, Peter
• Is Part Of: Optimal control applications and methods. Volume 37:Number 5(2016:Sep./Oct.)
• Page Start: 980
• Page End: 995
• Publication Date: 2015-11-17
• Subjects: nonlinear control -- nonlinear models and systems -- stability -- control applications; Control theory -- Periodicals; Mathematical optimization -- Periodicals; 629.8312
• DOI: 10.1002/oca.2219
• Languages: English
• ISSNs: 0143-2087

Abstract

Summary: We are interested in the mathematical modeling and control of electric power lines. The electric transmission lines under consideration are modeled as directed graph where the evolution of voltage, and current is described by a linear 2 × 2 system of hyperbolic balance laws. Open and closed loop control concepts are investigated for control actions at nodal points in the network. Theoretical and numerical results are presented and compared for different scenarios. Copyright © 2015 John Wiley & Sons, Ltd.